Questions tagged [bayesian-game]

For questions about Bayesian games. These are strategic interactions when one or more players have incomplete information about other players. General topics of games with asymmetric information may use this tag.

I was studying definitions of Stochastic and Bayesian game and it appears that Stochastic game is a generalized form of Bayesian game. Could anybody please explain the fundamental differences between ...

Bergeman and Morris (2014) explain how the concept of Bayesian Correlated equilibrium contains all the robust predictions in games of incomplete information. In particular, their question is what are ...

In a famous textbook example of a Bayesian-Nash equilibrium, there is a first-price auction with two independent players. Each player $i$ values the item as $v_i$, which is distributed uniformly in $[...

In an auction setting with interdependent values, let $\theta_i$ denote the type of player $i$ and $m_i$ that player's message (a bid, essentially). I have calculated the best response function as:
$$...

Define a Bayesian game as follows: $$G = \left\langle I, \left(A_i,T_i,(p_{t_i})_{t_i \in T_i}, u_i \right)_{i \in I} \right\rangle$$
$I$ is the set of players
$A_i$ is the action set for player $i$,...

In a finite Bayesian game, in most textbooks, a type of player $i$ is defined as $\theta_i\in\Theta_i$. Little is said about the "nature" of the set of types.
For example, could we have a two-element ...

I understood the general idea of divinity: that it helps to rule out "unreasonable" equilibria. However, can someone explain it in more details with simple examples so that a senior undergrad student ...

I was thrilled at seeing an interesting bidding system in an academic institutions. This bidding is for registration of courses.
Each student is allocated some points based on her grade point(GPA). So,...

In a normal form game with two players, we call a joint strategy $s=(s_1,s_2)$ a Pareto optimal outcome if for no joint strategy $s'$, for all players $i\in\{1,2\}$, we have $$u_i(s')\geq u_i(s)\qquad(...

We need to make statements about the sequential rationality of players who are in information sets that are not singletons. In these non-trivial information sets, we need to be able to say something ...

I'm confronted with the following situation:
First of all nature decides which of two games is played. Then each of two players make a simultaneous move, but only player I knows which game is played....

I'm sure most of you are familiar with the paper titled "Bayesian Persuasion" by Kamenica and Gentzkow (2011), (you can find it here).
I was wondering what are your thoughts as to why it is called "...

Are there game theoretic models where one player is rational and the other is irrational (i.e., plays with behavioral limitations)?
The motivation for this question is that behavioral economics has ...

I would like your help to understand the concept of expansion of an information structure in the incomplete information game at p.6-9 this paper.
Let me summarise the game as described in the paper.
...

I would like your help to understand the definition of Bayes Correlated Equilibrium (BCE) in an incomplete information game at p.7 of this paper.
Let me summarise the definition provided in the paper....

In an article (see here) from the blog leisure of theory class, it is shown, in an interim stage for a Baysian game, we could run into a technical problem that the induced belief space for a player ...

Consider a spatial model in which two candidates A and B compete for office. The policy space ranges from -1 to 1 and each candidate can take one of three positions, -1, 0, and 1 (so that they have ...

I would like your help to understand the concept of combination/expansion of an information structure in the incomplete information game at p.6-9 this paper.
Let me summarise the game as described in ...

First I want to thank you if you pay attention to my post. I apologize if it seems elementary to you, note that I searched a lot an answer before posting.
I have a particular informational framework ...

I need a little help with the question. I understand that since both players have two types each, there will be 4 different payoff matrices to be considered, $(S,S)$,$(S,W)$,$(W,S)$,$(W,W)$, each type ...

Thought I'd post interesting questions that come my way to try and boost activity!
A seller and a buyer negotiate over trade of a single indivisible
good. The good is either of low quality (in which ...

I would like your help to better understand the possibility of using the notion of Bayes Correlated Equilibrium (BCE) in a single-agent decision problem with uncertainty to make predictions on optimal ...

I have a little doubt in the Job Market Signalling Game. I am referring to A Primer in Game Theory: Gibbons, Chapter 4, Signaling Games
The attached paragraph refers to a Separating Equilibrium case ...

I have read many articles about Bayesian thinking. Most of the time, they fall under 2 categories (or a mix of both).
The first category of articles focuses on Bayes’ formula.
The second category of ...